Sentence examples for suitable assumptions from inspiring English sources

This analysis reduces to previous analyses of the cluster problem for unconstrained optimization under suitable assumptions.

We show that the proposed algorithm is globally and locally superlinearly convergent under suitable assumptions.

The global and local quadratic convergence of the proposed algorithm are established under some suitable assumptions.

Subsequently, using suitable assumptions, the method of position adjustment to approach equilibrium condition is introduced.

The physical model and governing equation of it are established under several suitable assumptions.

Even though the laws of nature are assumed to be time symmetrical, it is possible to explain these asymmetries by means of suitable assumptions about boundary conditions.

Consequently, under suitable assumptions, the complexity of regression queries is at most exponential in its contextual width.

It exhibits built-in flux equilibration and is equivalent to the energy error up to data oscillation, under suitable assumptions.

In particular this implies, under suitable assumptions, the existence of conditional densities for certain functionals of a given stochastic process.

Under suitable assumptions on the frequency, we establish upper and lower bounds for the upper transport exponents.

Furthermore, such schemes can achieve second-order convergence at KKT points, at unconstrained points in the reduced-space, and at infeasible points under suitable assumptions when the problem exhibits a specific separable structure.